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maria [59]
3 years ago
10

The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=

2x+8
Part A. Wrote a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)

Part B which functions has greater y-intercept. Justify
Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0
F(x) = 4x - 1. You can get this by using the slope formula and then point-slope form. 

1. The slope of f(x) is twice as steep as that of g(x).

2. The y intercept of g(x) is much greater than that of f(x) because 8>-1
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What’s the equation in vertex form?
pshichka [43]

Answer:

\large\boxed{y=(x+5)^2-64}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64

8 0
3 years ago
What is 12.496 rounded to a whole number. what is 2.90 rounded to a whole number
otez555 [7]
A whole number is a number that is whole as in 1,2,3,4,etc, they don’t have decimals. To find the whole number for these questions you must look at the places (hundreds, thousands, ten thousands.) I was always told a trick which is 4 or less let it rest, 5 or more let it sore. (Basically if it’s less than 4 then decrease it, if it’s higher than increase it.)

12.496 = 13
2.90 = 3

Your answers are 13 and 3.
7 0
3 years ago
Read 2 more answers
If the mass of two objects is increased, what is the effect on the force between them?
almond37 [142]

Answer:

A

Step-by-step explanation:

The formula used for this type of question is

F = \frac{Gm_1m_2}{r^2}  

so as long as you don't change anything else (like r), changing m will increase the force. Both of the last 2 answers look like they might be feasible, but they are not. The attraction increases.

So the answer is A

7 0
3 years ago
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A loan company will provide a loan to Bill and Hillary for 75% of the appraised value of their home. The interest rate is 10.5%.
ivann1987 [24]

Answer:

The discount points will cost 3749.

Step-by-step explanation:

The first monthly interest payment is $820.

So, annual interest paid = 820\times12 = $9,840

Now, converting the annual interest to decimal = \frac{9840}{0.105} = $93,714.28

As given, the bank requires 4 discount points, this becomes 0.04.

So, total loan amount = 93714.28\times0.04 = $3748.57 ≈ $3749

Hence, the discount points will cost 3749.

5 0
3 years ago
Jimmy applied the distributive property to write the equation below.
grigory [225]
The answer to this is 4. jimmy wrote two expressions that are not equivalent. hope this helps.
4 0
3 years ago
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